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Finding the Fourth Proportional to 2,194.37, 3,291.48 and 550.93

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Solution

The fourth proportional to 2,194.37, 3,291.48 and 550.93 is: 826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.37 : 3,291.48 = 550.93 : x
  2. Step 2: Convert to fraction form
    2,194.37/3,291.48 = 550.93/x
  3. Step 3: Cross multiply
    2,194.37x = 3,291.48 × 550.93
  4. Step 4: Simplify right side
    2,194.37x = 1,813,375.08
  5. Step 5: Solve for x
    x = 1,813,375.08/2,194.37
  6. Step 6: Final answer
    x = 826.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.